Authors: A. Garai 1 and S. Ray 2
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  • 1 Memari College, Memari, Burdwan, West Bengal, India
  • 2 Department of Mathematics, Visva-Bharati University, Santiniketan, West Bengal, India
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Abstract

Let f: RR be integrable in a neighbourhood of xR. If there are real numbers α0,α2,…,α2n−2 such that

ea
exists for some δ>0 then the limit is called the 2n-th symmetric Laplace derivative at x. There is a corresponding definition of (2n+1)-th symmetric Laplace derivative. It is shown that this derivative is a generalization of the symmetric d.l.V.P. derivative. Some properties of this derivative are studied.

  • [1] Mukhopadhayay, S. N., Ray, S. 2010 On Laplace derivative Analysis Math. 36 131153 .

  • [2] Sevtic, R. E. 2001 The Laplace derivative Comment. Math. Univ. Carolinae 42 331343.

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